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41148160 = 285173161
BaseRepresentation
bin1001110011110…
…1111100000000
32212102112122221
42130331330000
541013220120
64025540424
71006516324
oct234757400
985375587
1041148160
1121255249
1211944714
1386a9331
145671984
15392c0aa
hex273df00

41148160 has 144 divisors (see below), whose sum is σ = 109492992. Its totient is φ = 14745600.

The previous prime is 41148157. The next prime is 41148161. The reversal of 41148160 is 6184114.

41148160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41148161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 674530 + ... + 674590.

It is an arithmetic number, because the mean of its divisors is an integer number (760368).

Almost surely, 241148160 is an apocalyptic number.

41148160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54746496).

41148160 is an abundant number, since it is smaller than the sum of its proper divisors (68344832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41148160 is a wasteful number, since it uses less digits than its factorization.

41148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 41148160 is about 6414.6831566337. The cubic root of 41148160 is about 345.2365807109.

The spelling of 41148160 in words is "forty-one million, one hundred forty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 31 32 34 40 61 62 64 68 80 85 122 124 128 136 155 160 170 244 248 256 272 305 310 320 340 488 496 527 544 610 620 640 680 976 992 1037 1054 1088 1220 1240 1280 1360 1891 1952 1984 2074 2108 2176 2440 2480 2635 2720 3782 3904 3968 4148 4216 4352 4880 4960 5185 5270 5440 7564 7808 7936 8296 8432 9455 9760 9920 10370 10540 10880 15128 15616 16592 16864 18910 19520 19840 20740 21080 21760 30256 32147 33184 33728 37820 39040 39680 41480 42160 60512 64294 66368 67456 75640 78080 82960 84320 121024 128588 132736 134912 151280 160735 165920 168640 242048 257176 265472 302560 321470 331840 337280 484096 514352 605120 642940 663680 674560 1028704 1210240 1285880 1327360 2057408 2420480 2571760 4114816 5143520 8229632 10287040 20574080 41148160